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Finding the Fourth Proportional to 98,238.80, 147,358.20 and 35,901.20

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Solution

The fourth proportional to 98,238.80, 147,358.20 and 35,901.20 is: 53,851.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,238.80 : 147,358.20 = 35,901.20 : x
  2. Step 2: Convert to fraction form
    98,238.80/147,358.20 = 35,901.20/x
  3. Step 3: Cross multiply
    98,238.80x = 147,358.20 × 35,901.20
  4. Step 4: Simplify right side
    98,238.80x = 5,290,336,209.84
  5. Step 5: Solve for x
    x = 5,290,336,209.84/98,238.80
  6. Step 6: Final answer
    x = 53,851.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.